441006250000 has 180 divisors, whose sum is σ = 1094747486364. Its totient is φ = 172000000000.

The previous prime is 441006249967. The next prime is 441006250021. The reversal of 441006250000 is 52600144.

It can be written as a sum of positive squares in 18 ways, for example, as 1591052544 + 439415197456 = 39888^2 + 662884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256249140 + ... + 256250860.

Almost surely, 2^441006250000 is an apocalyptic number.

441006250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441006250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547373743182).

441006250000 is an abundant number, since it is smaller than the sum of its proper divisors (653741236364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441006250000 is an frugal number, since it uses more digits than its factorization.

441006250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 441006250000 its reverse (52600144), we get a palindrome (441058850144).

It can be divided in two parts, 44100 and 6250000, that multiplied together give a square (275625000000 = 525000²).

The spelling of 441006250000 in words is "four hundred forty-one billion, six million, two hundred fifty thousand".